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- W4298216904 abstract "In this paper we study minimal and constant mean curvature (cmc) periodic surfaces in H^2 x R. More precisely, we consider quotients of H^2 x R by discrete groups of isometries generated by horizontal hyperbolic translations f and/or a vertical translation T. In the quotient by the Z^2 subgroup of the isometry group generated by any f and T, we prove an Alexandrov-type theorem for cmc surfaces, i.e., an analysis of compact embedded cmc surfaces in such a quotient. The remainder of the paper is devoted to construct examples of periodic minimal surfaces in H^2 x R." @default.
- W4298216904 created "2022-10-01" @default.
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- W4298216904 date "2011-06-29" @default.
- W4298216904 modified "2023-09-26" @default.
- W4298216904 title "Periodic constant mean curvature surfaces in H^2 x R" @default.
- W4298216904 doi "https://doi.org/10.48550/arxiv.1106.5900" @default.
- W4298216904 hasPublicationYear "2011" @default.
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